Seminar Calendar
for events the day of Thursday, February 16, 2012.

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Thursday, February 16, 2012

Number Theory Seminar
11:00 am   in 243 Altgeld Hall,  Thursday, February 16, 2012
 Del Edit Copy
Submitted by ford.
 Youness Lamzouri (UIUC Math)Conditional bounds for the least quadratic non-residue and the values of L-functions at 1Abstract: We study explicit and theoretical bounds for several interesting quantities in number theory, conditionally on the Generalized Riemann Hypothesis. Specifically, we improve the existing explicit bounds for the least quadratic non-residue and the least prime in an arithmetic progression. We also refine the classical conditional bounds of Littlewood for $L$-functions at $s=1$. In particular, we derive explicit upper and lower bounds for $L(1,\chi)$ and $\zeta(1+it)$, and deduce explicit bounds for the class number of imaginary quadratic fields. This is a joint work with X. Li and K. Soundararajan.

Lunch Seminar on NetMath
12:05 pm   in 102 Altgeld Hall,  Thursday, February 16, 2012
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Submitted by gfrancis.
 Gloriana Gonzalez   [email] (Curriculum & Instruction, Urbana)Resources for Building a Collective Memory in the Online Geometry CourseAbstract: The talk examines components in the design of the online geometry course that support students' remembering of geometric concepts and procedures. These components include the recording of class discussions of proofs. The talk examines how the use of these novel and interactive resources could enable students to navigate through the online materials differently than when working with a textbook in a traditional face-to-face course. I will argue that these components help to create a collective memory of students' experiences course and of the mathematical knowledge that they are supposed to learn in the online geometry course.

Group Theory Seminar
1:00 pm   in Altgeld Hall 347,  Thursday, February 16, 2012
 Del Edit Copy
Submitted by kapovich.
 Richard Brown (Johns Hopkins University)The dynamics of mapping class actions on the character varieties of surfacesAbstract: We construct an algebraic model of the special linear character variety of a compact surface in a way which facilitates the study of the action of the mapping class group of the surface on the affine set. We then present some early results of this study, and discuss some intended directions of further study.